A community for students. Sign up today!
Here's the question you clicked on:
 0 viewing
 2 years ago
4 sin^4 x + 3sin^2 x  1 = 0
After I borrow the 4 I just don't know what to do afterwords..
 2 years ago
4 sin^4 x + 3sin^2 x  1 = 0 After I borrow the 4 I just don't know what to do afterwords..

This Question is Closed

Iamgmg90
 2 years ago
Best ResponseYou've already chosen the best response.1let sin^2x = u, substitute and solve as a quadratic? i.e 4u^2 + 3u  1 = (4u  1)(u + 1 ) so u = 1/4 or 1, therefore sin^2(x) = 1/4 or 1, use calculator

Iamgmg90
 2 years ago
Best ResponseYou've already chosen the best response.1sin^1(SQRT(1/4) = sin^1(1/2)

amelapal
 2 years ago
Best ResponseYou've already chosen the best response.0Can the quadratic formula be used if its to the 4th degree because I got the same thing, however I used factoring with borrow and payback.

ByteMe
 2 years ago
Best ResponseYou've already chosen the best response.1Yes... you can use the QF but I think factoring, as shown above is faster...

ByteMe
 2 years ago
Best ResponseYou've already chosen the best response.1Also, \(\large sin^2x=\frac{1}{4} \) gives \(\large sinx=\pm \frac{1}{2} \) so you'll need to solve sinx=1/2, and also sinx=1/2

Iamgmg90
 2 years ago
Best ResponseYou've already chosen the best response.1Oh, thanks. Yes square rooting yields both signs, as squaring makes positive (negative time negative). The 1 can be ignored as it would be a complex number

amelapal
 2 years ago
Best ResponseYou've already chosen the best response.0So the angles would be 30 and 150, and 210 and 330?

amelapal
 2 years ago
Best ResponseYou've already chosen the best response.0The other one would come up with i so is it okay to ignore it since it is complex?
Ask your own question
Ask a QuestionFind more explanations on OpenStudy
Your question is ready. Sign up for free to start getting answers.
spraguer
(Moderator)
5
→ View Detailed Profile
is replying to Can someone tell me what button the professor is hitting...
23
 Teamwork 19 Teammate
 Problem Solving 19 Hero
 Engagement 19 Mad Hatter
 You have blocked this person.
 ✔ You're a fan Checking fan status...
Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.